Question

2m+5/3=3m-10(by transposition method)​

Answer 1

Answer:

The value of m is 5

Step-by-step explanation:

2m+5/3=3m-10

2m+5=3[ 3m-10 ]

2m+5=9m-30

-7m=-35

m=5

Answer 2

Question:

$2m + \frac{5}{3} = 3m - 10$

Answer:

$\boxed{ m = \frac{35}{3} }$

Step-by-step explanation:

$2m + \frac{5}{3} = 3m - 10$

L.C.M. is 3

$\frac{6m + 5}{3} = 3m - 10$

Now, multiplying by 3 on both sides

$3 \times ( \frac{6m + 5}{3}) = 3 \times (3m - 10)$

$6m + 5 = 9m - 30$

$9m - 6m = 30 + 5$

$3m = 35$

$\boxed{ m = \frac{35}{3} }$

Note:

An exchange of two elements of an ordered list with all others staying the same is known as transposition method .